Past Events

Originally distributions were introduced in PDE-theory to generalize the notion of functions. However, this analytical concept also has some purely algebraic properties, which are worth considered. In particular, they are an important example of...

This talk introduces a newly developed computational method for rigorously evaluating the Hadamard derivative of Laplacian eigenvalues, which plays an important role in studying shape optimization problems. To evaluate the Hadamard derivative, this...

In my talk I will discuss the notion of local volume for singularities. For the special case of toric singularities this turns out to be closely related to the notion of Mahler volume in convex geometry. This opens a connection between algebraic...

The directed landscape is a random directed metric on the plane that arises as a scaling limit of a classical metric models in the KPZ universality class. In this talk, we will discuss a functional large deviation principle (LDP) for the entire...

The directed landscape is a random directed metric on the plane that arises as the scaling limit of classical metric models in the KPZ universality class. In this talk, we will discuss a functional large deviation principle (LDP) for the entire...

We analyse the metastable behaviour of the disordered Curie-Weiss-Potts (DCWP) model subject to a Glauber dynamics. The model is a randomly disordered version of the mean-field q-spin Potts model (CWP), where the interaction coefficients between...

By using Grand Canonical Optimal Transport we provide a counter-example showing that the ground state energy of electrons in an external Coulomb potential is not always a convex function of the number of electrons. This property has been conjectured...

A classical problem in linear algebra is to understand what are the linear subspaces of the space of $m\times n$ matrices such that no matrix in the space has full rank. This problem has connections to theoretical computer science, more precisely...

The starting point for this are clinical studies showing that partial and total meniscectomies lead to prevalence of premature osteoarthritis in knee joints. Accordingly, substantial efforts are being made towards finding adequate regenerative tissue...

We consider the algorithmic problem of the functional decomposition of sparse polynomials. For example, (very) given a very high degree (5∗2 100)(5∗2 100) and very sparse (7 terms) polynomial like f(x)=x(5∗2 100)+15∗x(2 102+2 47)+90∗x(2 101+2 100+2...